Monte Carlo simulations of energetic particle transport in weakly inhomogeneous magnetic fields. I - Particle acceleration in relativistic shock waves with oblique magnetic fields

Astronomy and Astrophysics – Astronomy

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Energetic Particles, Interstellar Magnetic Fields, Monte Carlo Method, Particle Acceleration, Relativistic Effects, Shock Wave Propagation, Corpuscular Radiation, Density Distribution, Magnetic Field Configurations, Spectral Methods

Scientific paper

An extended form of the Kirk & Schneider method for simulation of energetic particle transport in weakly disturbed magnetic fields is presented which is based on the mean field + perturbations' decomposition of magnetic field. For the application of the method, a simulation of the particle shock acceleration in relativistic shock waves with oblique magnetic fields has been selected. A number of previously obtained analytical results for parallel and oblique shocks were reproduced, and a possibility was revealed for substantial excess of the energetic particle pressure in front of the oblique relativistic shock with respect to the pressure behind it. An important finding is that there exists an amplitude range of perturbations leading to very steep particle spectra, even steeper than those produced by strong nonrelativistic shocks.

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